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14800640 = 28531373
BaseRepresentation
bin111000011101…
…011100000000
31000211221122212
4320131130000
512242110030
61245121252
7236542361
oct70353400
930757585
1014800640
118399a38
124b59228
1330b299a
141d73b68
151475595
hexe1d700

14800640 has 72 divisors (see below), whose sum is σ = 36693888. Its totient is φ = 5713920.

The previous prime is 14800637. The next prime is 14800651. The reversal of 14800640 is 4600841.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39494 + ... + 39866.

Almost surely, 214800640 is an apocalyptic number.

14800640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18346944).

14800640 is an abundant number, since it is smaller than the sum of its proper divisors (21893248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14800640 is an equidigital number, since it uses as much as digits as its factorization.

14800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 14800640 is about 3847.1599914742. The cubic root of 14800640 is about 245.5237442174.

The spelling of 14800640 in words is "fourteen million, eight hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 373 496 620 640 746 992 1240 1280 1492 1865 1984 2480 2984 3730 3968 4960 5968 7460 7936 9920 11563 11936 14920 19840 23126 23872 29840 39680 46252 47744 57815 59680 92504 95488 115630 119360 185008 231260 238720 370016 462520 477440 740032 925040 1480064 1850080 2960128 3700160 7400320 14800640